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pashok25 [27]
2 years ago
15

2) Abby made 5 1/2 cups of banana pudding. She served 7/8 cup of the pudding to her kids for dessert.

Mathematics
1 answer:
frez [133]2 years ago
3 0

Answer:

<u>37/8</u>

Step-by-step explanation:

we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.

5 1/2 = 11/10

in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)

11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer

11/2 - 1 = 9/2

we will now us the cup we subtracted from that and "give it to the kids"

 1 = 8/8

so

8/8 - 7/8 = 1/8

so we have 1/8 leftover from that cup, so we can add that back

since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:

9/2 = 36/8

so

1/8 + 36/8 = 37/8

so since 37/8 cannot be simplified anymore, the answer is

<u>37/8</u>

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Answer:

<h3>36 and 12</h3>

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1  -1296/x²

0 =  1  -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

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3 years ago
X - 2y = 4. This in slope intercept forms. I need steps too.
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Answer: 1/2

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Answer:

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11 times 3 would be one way and 1 times 33 would be the last way to get 33 as an answer ;)
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Hope this helps :)

Have a great day love :)

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3 years ago
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